If you need a Java EE 6 commercially supported application server, then get started with JBoss EAP. If you need a Java EE 7 compliant application server that will be commercially supported, get started with WildFly.

Another ope source server that has similar functionality and more is WSO2 Application server. (architecture https://docs.wso2.com/display/AS521/Architecture). This is a standalone application server which has Apache Axis2 framework as its core.
The advantage with this is that WSO2 has many more products that could be easily integrated with the application server to support a complete enterprise environment. Also application server has many plug-able features that could be used on user requirement.
you can try it out at http://wso2.com/products/application-server/

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